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**NCERT solutions for Maths Understanding elementary Download as PDF**

## NCERT Solutions for Class 6 Maths Understanding elementary

**Class –VI **

**Mathematics **

**(Ex. 5.6)**

**Question 1.**Name the types of following triangles:

(a)Triangle with lengths of sides 7 cm, 8 cm and 9 cm.

(b){tex}\Delta {\text{ABC}}{/tex} with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.

(c){tex}\Delta {/tex}PQR such that PQ = QR = PR = 5 cm.

(d){tex}\Delta {/tex}DEF with {tex}m\angle {/tex}D = {tex}{90^ \circ }{/tex}

(e){tex}\Delta {/tex}XYZ with {tex}m\angle {/tex}Y = {tex}{90^ \circ }{/tex} and XY = YZ

(f){tex}\Delta {/tex}LMN with {tex}m\angle {/tex}L = {tex}{30^ \circ },{/tex}{tex}m\angle {/tex}M = {tex}{70^ \circ }{/tex} and {tex}m\angle {/tex}N = {tex}{80^ \circ }.{/tex}

**Answer: **

(a) Scalene triangle

(b) Scalene triangle

(c) Equilateral triangle

(d) Right-angled triangle

(e) Isosceles right-angled triangle

(f) Acute-angled triangle

NCERT Solutions for Class 6 Maths Exercise 5.6

**Question** 2.Match the following:

Measure of Triangle | Types of Triangle |

(i)3 sides of equal length | (a) Scalene |

(ii) 2 sides of equal length | (b) Isosceles right angle |

(iii) All sides are of different length | (c) Obtuse angle |

(iv) 3 acute angles | (d) Right angle |

(v) 1 right angle | (e) Equilateral |

(vi) 1 obtuse angle | (f) Acute angle |

(vii) 1 right angle with two sides of equal length | (g) Isosceles |

**Answer:** (i) {tex} \to {/tex} (e), (ii) {tex} \to {/tex} (g), (iii) {tex} \to {/tex} (a), (iv) {tex} \to {/tex} (f), (v) {tex} \to {/tex} (d), (vi) {tex} \to {/tex} (c), (vii) {tex} \to {/tex} (b)

**Question** 3.Name each of the following triangles in two different ways: (You may judge the nature of angle by observation)

**Answer: **

(a) Acute angled triangle and Isosceles triangle

(b) Right-angled triangle and Scalene triangle

(c) Obtuse-angled triangle and Isosceles triangle

(d) Right-angled triangle and Isosceles triangle

(e) Equilateral triangle and acute angled triangle

(f) Obtuse-angled triangle and scalene triangle

NCERT Solutions for Class 6 Maths Exercise 5.6

**Question** 4.Try to construct triangles using match sticks. Some are shown here.

Can you make a triangle with:

(a)3 matchsticks?

(b)4 matchsticks?

(c)5 matchsticks?

(d)6 matchsticks?

(Remember you have to use all the available matchsticks in each case)

If you cannot make a triangle, think of reasons for it.

**Answer:**

(a) 3 matchsticks

This is an acute angle triangle and it is possible with 3 matchsticks to make a triangle because sum of two sides is greater than third side.

(b) 4 matchsticks

This is a square, hence with four matchsticks we cannot make triangle.

(c) 5 matchsticks

This is an acute angle triangle and it is possible to make triangle with five matchsticks, in this case sum of two sides is greater than third side.

(d) 6 matchsticks

This is an acute angle triangle and it is possible to make a triangle with the help of 6 matchsticks because sum of two sides is greater than third side.

## NCERT Solutions for Class 6 Maths Exercise 5.6

NCERT Solutions Class 6 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 6 Maths includes text book solutions from Class 6 Maths Book . NCERT Solutions for CBSE Class 6 Maths have total 14 chapters. 6 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 6 solutions PDF and Maths ncert class 6 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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